Answer:
Leslie has 13 quarters and 23 half-dollars.
Step-by-step explanation:
You can write the following equations from the information given and considering that a quarter is $0.25 and half-dollar is $0.50:
x+y=36 (1)
0.25x+0.50y=14.75 (2), where:
x=amount of quarters
y=amount of half-dollars
First, you can isolate x in (1):
x=36-y (3)
Then, you can replace (3) in (2):
0.25(36-y)+0.50y=14.75
9-0.25y+0.50y=14.75
0.25y=5.75
y=5.75/0.25
y=23
Finally, you can replace the value of y in (3) to find the value of x:
x=36-23
x=13
According to this, the answer is that Leslie has 13 quarters and 23 half-dollars.
<em>Exterior angle of the triangle is equal to the sum of the opposite angles.</em>
9x = 5x + 9 + x
<em>Combine like terms:</em>
9x = 6x + 9
<em>Take away 6x from both sides:</em>
3x = 9
<em>Divide by 3 on both sides:</em>
x = 3
Answer: x = 3
The cost is the cost per pound times the number of pounds minus the coupon.
If 
pounds are purchased, she will pay 
.
If 3 pounds are purchased, she will pay 3.50(3)-3.25=7.25.
Answer: Emma’s mean is 189. Devins mean is 186.
Step-by-step explanation:
Emma: 147+143+181+232+193+207+205+221+172= 1701. 1701 divided by nine: 189.
Devin: 185+186+194+197+198+155+194+163+202= 1674 divided by nine: 186.
Coach should choose Emma.
Hope i helped have an awesome Friday!
Answer:
x = 2 and x = -2
Step-by-step explanation:
The quadratic formula of a quadratic of the form ax² + bx + c is:
x = 
or x = 
Here, our equation is: 3x² - 18 = -6. Let's move all the terms to one side:
3x² - 12 = 0
a = 3 and c = -12. Notice that since there's no x term, b = 0.
Plug these into the quadratic formula:
x = 
or
x = 
So, x = 2 and x = -2.
